Vicky bought 3 1/2

pounds of oranges. Each pound costs $3.90. Which of the following equations represents the total cost, c
, Vicky paid for the oranges and the amount of money she spent?(1 point)
Responses

c/3.90=3.5
; Vicky paid $1.11.
Start Fraction c over 3.90 End Fraction equals 3.5 ; Vicky paid $1.11.

3.90/3.5=c
; Vicky paid $13.65.
Start Fraction 3.90 over 3.5 End Fraction equals c ; Vicky paid $13.65.

c/3.5=3.90
; Vicky paid $13.65.
Start Fraction c over 3.5 End Fraction equals 3.90 ; Vicky paid $13.65.

3.90c=3.5
; Vicky paid $0.90.

1 answer

To determine the total cost \( c \) that Vicky paid for the oranges, we need to multiply the number of pounds of oranges she bought by the cost per pound.

Vicky bought \( 3 \frac{1}{2} \) pounds of oranges, which can be converted to an improper fraction:

\[ 3 \frac{1}{2} = \frac{7}{2} \text{ pounds} \]

The cost per pound is \( 3.90 \) dollars.

So, the total cost \( c \) can be calculated as:

\[ c = \text{(number of pounds)} \times \text{(cost per pound)} = \left(\frac{7}{2}\right) \times 3.90 \]

To find the equation that represents this scenario, when we multiply the number of pounds by the cost per pound, we can set it up as:

\[ c = \frac{7}{2} \times 3.90 \]

To express this relation using an equation, we can rearrange it to isolate \( c \):

The total cost in terms of the price per pound and pounds purchased is:

\[ c = 3.90 \times \frac{7}{2} \]

This doesn't exactly match any of the response formats provided, so let's check the responses:

  1. \( \frac{c}{3.90} = 3.5 \) - Incorrect
  2. \( \frac{3.90}{3.5} = c \) - Incorrect
  3. \( \frac{c}{3.5} = 3.90 \) - Incorrect
  4. \( 3.90c = 3.5 \) - Incorrect

None of the provided options correctly represent the equation for the total cost.

To calculate the total cost:

\[ c = \frac{7}{2} \times 3.90 = 3.5 \times 3.90 = 13.65 \]

Thus, Vicky paid \( 13.65 \).

So the equation for total cost Vicky paid for the oranges should be:

\[ c = 3.90 \times 3.5 \]

And the correct total amount Vicky spent is \( 13.65 \), but this should also be noted that there is no correct answer listed in the options.